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Finding the Fourth Proportional to 257,058.50, 385,481.31 and 97,107.15

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Solution

The fourth proportional to 257,058.50, 385,481.31 and 97,107.15 is: 145,620.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,058.50 : 385,481.31 = 97,107.15 : x
  2. Step 2: Convert to fraction form
    257,058.50/385,481.31 = 97,107.15/x
  3. Step 3: Cross multiply
    257,058.50x = 385,481.31 × 97,107.15
  4. Step 4: Simplify right side
    257,058.50x = 37,432,991,392.37
  5. Step 5: Solve for x
    x = 37,432,991,392.37/257,058.50
  6. Step 6: Final answer
    x = 145,620.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.